Introduction to Astrodynamics

Objectives

You will learn the relevant mathematical techniques to determine the orbit of celestial bodies, satellites and spacecrafts under the effect of the gravitational force, and how to compute the position and velocity of those objects at different times. After taking this course, you should be able to explain the foundations of astrodynamics, also known as orbital mechanics.

Program

1. Coordinates systems and reference frames used to describe orbits.
2. Motion inside a central force field.
3. Two-body problem with initial conditions.
4. Two-body problem with boundary conditions.
5. Many-body problems.
6. Interplanetary flight.
7. Orbit perturbation.

Bibliography

• Hintz, G. R. (2022). Orbital Mechanics and Astrodynamics. Techniques and Tools for Space Missions. 2nd edition, Switzerland: Springer, ISBN 978-3-030-96572-3.
• Curtis, H. D. (2019). Orbital Mechanics for Engineering Students. 4th edition, Cambridge, MA, USA: Elsevier, ISBN 978-0-08-102133-0.
• Battin, R. H. (1999). An Introduciton to the Mathematics and Methods of Astrodynamics. Reston, VA, USA: American Institute of Aeronautics and Astronautics, ISBN 1-56347-342-9.
• Vallado, D. A. (2013). Fundamentals of Astrodynamics and Applications. 4th edition, Hawthorn, CA, USA: Microcosm Press, ISBN 978-1881883180.